Trigonometry A

Time bar (total: 7.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze7.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.4s (18.8%)

Memory
80.5MiB live, 1 688.4MiB allocated
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 803.0ms
ival-sin: 255.0ms (31.7% of total)
ival-cos: 226.0ms (28.1% of total)
ival-mult: 138.0ms (17.2% of total)
ival-<=: 63.0ms (7.8% of total)
ival-div: 54.0ms (6.7% of total)
ival-add: 42.0ms (5.2% of total)
ival-and: 11.0ms (1.4% of total)
exact: 11.0ms (1.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain125.0ms (1.7%)

Memory
-7.8MiB live, 239.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-e
00-0-(*.f64 e (cos.f64 v))
00-0-(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
00-0-v
00-0-(sin.f64 v)
00-0-(*.f64 e (sin.f64 v))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
00-0-(cos.f64 v)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
62.0ms510×0valid
0.0ms1valid
Compiler

Compiled 79 to 31 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-cos: 12.0ms (32.7% of total)
ival-sin: 11.0ms (30% of total)
ival-mult: 7.0ms (19.1% of total)
ival-div: 3.0ms (8.2% of total)
ival-add: 2.0ms (5.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess76.0ms (1.1%)

Memory
-12.6MiB live, 64.5MiB allocated
Algorithm
egg-herbie
Rules
524×times-frac
318×distribute-lft-neg-in
308×distribute-rgt-in
302×associate-*r*
292×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02563
16457
215255
340255
4100055
5154855
6172355
7187455
8203055
9244555
10254055
11260155
12265355
13265855
0911
01511
12211
22511
32611
02610
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
Symmetry

(negabs v)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify3.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
Rules
16×lower-*.f32
12×lower-*.f64
*-commutative
lower-/.f32
associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
01532
12232
22532
32632
02630
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(cos.f64 v)
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(*.f64 (cos.f64 v) e)
(cos.f64 v)

localize48.0ms (0.7%)

Memory
11.4MiB live, 50.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
accuracy0.04296875
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
accuracy0.125
(*.f64 e (cos.f64 v))
accuracy0.15234375
(*.f64 e (sin.f64 v))
Samples
25.0ms255×0valid
0.0ms1valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 6.0ms (34.8% of total)
ival-cos: 5.0ms (29% of total)
ival-mult: 3.0ms (17.4% of total)
ival-div: 1.0ms (5.8% of total)
ival-add: 1.0ms (5.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.4%)

Memory
-10.4MiB live, 30.9MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())
#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())
Outputs
#s(alt (+ 1 e) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* -1/2 (* e (pow v 2))))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e v) (taylor 0 v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (* -1/6 (* e (pow v 2))))) (taylor 0 v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) (taylor 0 v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt v (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* -1/6 (pow v 2)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt e (taylor 0 v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ e (* -1/2 (* e (pow v 2)))) (taylor 0 v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) (taylor 0 v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) (taylor 0 v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (cos v) (/ 1 e))) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (cos v) (/ 1 e))) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (cos v) (/ 1 e))) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) (taylor inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) (taylor inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
12.0ms
v
@inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))
3.0ms
v
@-inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))
2.0ms
e
@0
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))
2.0ms
v
@0
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))
2.0ms
e
@inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))

simplify176.0ms (2.4%)

Memory
-15.5MiB live, 254.7MiB allocated
Algorithm
egg-herbie
Rules
15 582×lower-fma.f64
15 582×lower-fma.f32
6 122×lower-*.f64
6 122×lower-*.f32
3 736×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821153
15541138
215821106
352661024
08387956
Stop Event
iter limit
node limit
Counts
108 → 106
Calls
Call 1
Inputs
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(sin v)
(sin v)
(sin v)
(sin v)
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(sin v)
(sin v)
(sin v)
(sin v)
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
Outputs
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 e #s(literal 1 binary64)))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)))) (*.f64 v v) (+.f64 e #s(literal 1 binary64)))
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (*.f64 (*.f64 #s(literal -1/24 binary64) e) (/.f64 e (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)
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1
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(* e (cos v))
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rewrite185.0ms (2.6%)

Memory
40.5MiB live, 315.4MiB allocated
Rules
5 798×lower-fma.f64
5 798×lower-fma.f32
4 350×lower-/.f32
4 348×lower-/.f64
3 988×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
01527
14227
224127
3209727
0837025
Stop Event
iter limit
node limit
iter limit
Counts
5 → 344
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(*.f64 e (cos.f64 v))
Outputs
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eval62.0ms (0.9%)

Memory
-33.8MiB live, 164.9MiB allocated
Compiler

Compiled 12 121 to 1 266 computations (89.6% saved)

prune17.0ms (0.2%)

Memory
12.0MiB live, 55.9MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New43812450
Fresh000
Picked101
Done000
Total43912451
Accuracy
99.9%
Counts
451 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.0%
(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
22.9%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.7%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
99.6%
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
99.0%
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)))
99.7%
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
99.7%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
50.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)))
99.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
98.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
50.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
96.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Compiler

Compiled 338 to 252 computations (25.4% saved)

simplify174.0ms (2.4%)

Memory
6.0MiB live, 197.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
cost-diff0
(neg.f64 e)
cost-diff0
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
cost-diff0
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
cost-diff0
(+.f64 e #s(literal 1 binary64))
cost-diff0
(/.f64 e (+.f64 e #s(literal 1 binary64)))
cost-diff0
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 (sin.f64 v) e)
cost-diff0
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff13696
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
Rules
13 376×lower-fma.f32
13 372×lower-fma.f64
4 112×lower-*.f32
4 100×lower-*.f64
3 514×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035241
056241
198241
2202241
3445233
41145233
53847233
08544227
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
(-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))
(*.f64 (cos.f64 v) e)
(cos.f64 v)
#s(literal 2 binary64)
#s(literal 1 binary64)
(fma.f64 (cos.f64 v) e #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
v
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
e
(cos.f64 v)
v
#s(literal 1 binary64)
(*.f64 (sin.f64 v) e)
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(sin.f64 v)
v
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
(cos.f64 v)
(/.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
e
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(sin.f64 v)
v
e
(-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))
(*.f64 (cos.f64 v) e)
(cos.f64 v)
#s(literal 2 binary64)
#s(literal 1 binary64)
(fma.f64 (cos.f64 v) e #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)
(/.f64 e (+.f64 e #s(literal 1 binary64)))
(/.f64 e (-.f64 e #s(literal -1 binary64)))
e
(+.f64 e #s(literal 1 binary64))
(-.f64 e #s(literal -1 binary64))
#s(literal 1 binary64)
v
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
#s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64)))
(+.f64 e #s(literal 1 binary64))
(-.f64 e #s(literal -1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
e
(cos.f64 v)
v
#s(literal 1 binary64)
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(sin.f64 v)
v
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
(cos.f64 v)
(/.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
e

localize146.0ms (2%)

Memory
-1.7MiB live, 218.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 v)
accuracy0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
accuracy0.0078125
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
accuracy0.29296875
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
accuracy0
(cos.f64 v)
accuracy0.0234375
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
accuracy0.15234375
(*.f64 (sin.f64 v) e)
accuracy0.948985689689801
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
accuracy0
(sin.f64 v)
accuracy0.04296875
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
accuracy0.15234375
(*.f64 e (sin.f64 v))
accuracy0.674999020658834
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
accuracy0
(+.f64 e #s(literal 1 binary64))
accuracy0.01953125
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
accuracy0.02734375
(/.f64 e (+.f64 e #s(literal 1 binary64)))
accuracy31.564734728088457
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
accuracy0.03125
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
accuracy0.125
(*.f64 (cos.f64 v) e)
accuracy0.15234375
(*.f64 (sin.f64 v) e)
accuracy0.154628759768442
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))
Samples
125.0ms255×0valid
0.0ms1valid
Compiler

Compiled 209 to 30 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 43.0ms (55.6% of total)
ival-div: 8.0ms (10.3% of total)
ival-add: 7.0ms (9.1% of total)
ival-sin: 7.0ms (9.1% of total)
ival-cos: 7.0ms (9.1% of total)
ival-sub: 2.0ms (2.6% of total)
ival-pow2: 2.0ms (2.6% of total)
ival-neg: 1.0ms (1.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series51.0ms (0.7%)

Memory
8.5MiB live, 87.9MiB allocated
Counts
21 → 444
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (patch (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())
#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (patch (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())
#s(alt (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (patch (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 v) e) (patch (*.f64 (cos.f64 v) e) #<representation binary64>) () ())
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())
Outputs
#s(alt (/ (* e (* v (- e 1))) (- (pow e 2) 1)) (taylor 0 v) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ v (* -1 (/ v e))) (taylor -inf e) (#s(alt (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) (taylor -inf e) (#s(alt (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) (taylor -inf e) (#s(alt (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt e (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow e 2) (* (cos v) (sin v)))) (taylor -inf e) (#s(alt (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (patch (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) (taylor -inf e) (#s(alt (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (patch (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) (taylor -inf e) (#s(alt (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (patch (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) (taylor -inf e) (#s(alt (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (patch (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (cos v))) (taylor -inf e) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (cos v) (/ 1 e)))) (taylor -inf e) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (cos v) (/ 1 e)))) (taylor -inf e) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (cos v) (/ 1 e)))) (taylor -inf e) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor -inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor -inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor -inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor -inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf e) (#s(alt (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (patch (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (+ (cos v) (/ 1 e)) (taylor -inf e) (#s(alt (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (patch (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (+ (cos v) (/ 1 e)) (taylor -inf e) (#s(alt (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (patch (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (+ (cos v) (/ 1 e)) (taylor -inf e) (#s(alt (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (patch (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (pow (cos v) 2)) (taylor -inf e) (#s(alt (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (pow (cos v) 2)) (taylor -inf e) (#s(alt (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (pow (cos v) 2)) (taylor -inf e) (#s(alt (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (pow (cos v) 2)) (taylor -inf e) (#s(alt (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (*.f64 (cos.f64 v) e) (patch (*.f64 (cos.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (*.f64 (cos.f64 v) e) (patch (*.f64 (cos.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (*.f64 (cos.f64 v) e) (patch (*.f64 (cos.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (*.f64 (cos.f64 v) e) (patch (*.f64 (cos.f64 v) e) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
10.0ms
v
@0
((* (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (+ (* (cos v) e) -1)) (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (pow (* (cos v) e) 2) (* (cos v) e) (cos v))
8.0ms
v
@inf
((* (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (+ (* (cos v) e) -1)) (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (pow (* (cos v) e) 2) (* (cos v) e) (cos v))
7.0ms
e
@inf
((* (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (+ (* (cos v) e) -1)) (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (pow (* (cos v) e) 2) (* (cos v) e) (cos v))
5.0ms
v
@-inf
((* (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (+ (* (cos v) e) -1)) (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (pow (* (cos v) e) 2) (* (cos v) e) (cos v))
4.0ms
e
@-inf
((* (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (+ (* (cos v) e) -1)) (/ (* (sin v) e) (- (pow (* (cos v) e) 2) 1)) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (pow (* (cos v) e) 2) (* (cos v) e) (cos v))

simplify190.0ms (2.6%)

Memory
-2.3MiB live, 265.4MiB allocated
Algorithm
egg-herbie
Rules
14 148×lower-fma.f64
14 148×lower-fma.f32
6 682×lower-*.f64
6 682×lower-*.f32
4 016×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05837025
118996814
257186703
083326334
Stop Event
iter limit
node limit
Counts
444 → 437
Calls
Call 1
Inputs
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
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(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
1
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(* (pow e 2) (pow (cos v) 2))
(* (pow e 2) (pow (cos v) 2))
(* (pow e 2) (pow (cos v) 2))
(* (pow e 2) (pow (cos v) 2))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))))
(- (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v)))) (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))))
(/ (sin v) (* e (pow (cos v) 2)))
(/ (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (/ (sin v) (pow (cos v) 2))) e)
(/ (- (+ (/ (sin v) (* (pow e 4) (pow (cos v) 6))) (/ (sin v) (pow (cos v) 2))) (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4))))) e)
(/ (- (+ (/ (sin v) (* (pow e 6) (pow (cos v) 8))) (/ (sin v) (pow (cos v) 2))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (* -1 (/ (sin v) (* (pow e 4) (pow (cos v) 6)))))) e)
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
1
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (cos v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(* (pow e 2) (pow (cos v) 2))
(* (pow e 2) (pow (cos v) 2))
(* (pow e 2) (pow (cos v) 2))
(* (pow e 2) (pow (cos v) 2))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (sin v) (* e (pow (cos v) 2)))
(* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (+ (* -1 (/ (sin v) (* (pow e 4) (pow (cos v) 6)))) (* -1 (/ (sin v) (pow (cos v) 2))))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (+ (* -1 (/ (sin v) (* (pow e 4) (pow (cos v) 6)))) (+ (* -1 (/ (sin v) (* (pow e 6) (pow (cos v) 8)))) (* -1 (/ (sin v) (pow (cos v) 2)))))) e))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
1
(- 1 (/ 1 e))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (cos v)))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(* (pow e 2) (pow (cos v) 2))
(* (pow e 2) (pow (cos v) 2))
(* (pow e 2) (pow (cos v) 2))
(* (pow e 2) (pow (cos v) 2))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
Outputs
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(*.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) v) (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64))) (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 e #s(literal 3 binary64)) (-.f64 e #s(literal 1 binary64))) (pow.f64 (fma.f64 e e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) v) (/.f64 e (fma.f64 e e #s(literal -1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
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(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/144 e) (+ (* -1/240 e) (+ (* -1/720 e) (* -1/5040 (- e 1)))))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (- (pow e 2) 1))) (+ (* -2/45 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))) (* 1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))))))) (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
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(/ (* e v) (- (pow e 2) 1))
(*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) v)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (- (pow e 2) 1))) (* -1 (/ (pow e 3) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1))))
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(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e))
(/ (sin v) (* e (pow (cos v) 2)))
(/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))
(* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e))
(/.f64 (+.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)
(* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (+ (* -1 (/ (sin v) (* (pow e 4) (pow (cos v) 6)))) (* -1 (/ (sin v) (pow (cos v) 2))))) e))
(/.f64 (+.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e #s(literal 4 binary64)) (pow.f64 (cos.f64 v) #s(literal 6 binary64)))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)
(* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (+ (* -1 (/ (sin v) (* (pow e 4) (pow (cos v) 6)))) (+ (* -1 (/ (sin v) (* (pow e 6) (pow (cos v) 8)))) (* -1 (/ (sin v) (pow (cos v) 2)))))) e))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 8 binary64)) (pow.f64 e #s(literal 6 binary64)))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e #s(literal 4 binary64)) (pow.f64 (cos.f64 v) #s(literal 6 binary64))))) e))
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e))
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e))
1
#s(literal 1 binary64)
(- 1 (/ 1 e))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e))
e
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e))
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(*.f64 (*.f64 e (*.f64 (cos.f64 v) e)) (neg.f64 (sin.f64 v)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))
(* -1 (* e (cos v)))
(*.f64 (cos.f64 v) (neg.f64 e))
(* -1 (* e (- (cos v) (/ 1 e))))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(* -1 (* e (- (cos v) (/ 1 e))))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(* -1 (* e (- (cos v) (/ 1 e))))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e))
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(* (pow e 2) (pow (cos v) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e)
(* (pow e 2) (pow (cos v) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e)
(* (pow e 2) (pow (cos v) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e)
(* (pow e 2) (pow (cos v) 2))
(*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)

rewrite175.0ms (2.4%)

Memory
-14.9MiB live, 266.6MiB allocated
Rules
6 022×lower-fma.f32
6 018×lower-fma.f64
4 064×lower-/.f32
4 054×lower-/.f64
3 820×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035191
056191
1221191
21484183
08832174
Stop Event
iter limit
node limit
iter limit
Counts
21 → 838
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 e (+.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(*.f64 e (sin.f64 v))
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))
(*.f64 (cos.f64 v) e)
(cos.f64 v)
Outputs
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eval192.0ms (2.7%)

Memory
6.8MiB live, 393.6MiB allocated
Compiler

Compiled 33 724 to 3 563 computations (89.4% saved)

prune60.0ms (0.8%)

Memory
-8.2MiB live, 161.7MiB allocated
Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New1 441261 467
Fresh347
Picked235
Done000
Total1 446331 479
Accuracy
100.0%
Counts
1 479 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.0%
(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
22.9%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
50.2%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
50.4%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
98.5%
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
98.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v))))
99.7%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
98.7%
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
99.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
99.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
96.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
50.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
49.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
50.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
98.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
45.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
63.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))
50.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v))
50.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
50.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
98.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (sin.f64 v)))
96.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
99.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
98.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
50.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e)) v))
49.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
97.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
49.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
48.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
70.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
49.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
Compiler

Compiled 794 to 618 computations (22.2% saved)

simplify110.0ms (1.5%)

Memory
18.4MiB live, 175.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
cost-diff0
(neg.f64 e)
cost-diff0
(*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
cost-diff192
(+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))
cost-diff192
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e))))
cost-diff2816
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e))))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
cost-diff0
(*.f64 v e)
cost-diff0
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
cost-diff0
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
cost-diff0
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
Rules
9 476×lower-fma.f32
9 472×lower-fma.f64
3 032×lower-*.f32
3 020×lower-*.f64
1 274×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040295
062246
1119238
2269234
3736233
44137233
08887233
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
e
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
(*.f64 v e)
v
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(+.f64 #s(literal 1 binary64) e)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e))))
#s(literal 0 binary64)
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))
(/.f64 e (-.f64 #s(literal -1 binary64) e))
e
(-.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
(+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
(*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))
(neg.f64 e)
e
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal -1 binary64))
(cos.f64 v)
#s(literal -1 binary64)
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
e
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
#s(approx (* (/ e (+ e 1)) v) (*.f64 e v))
(*.f64 v e)
(*.f64 e v)
v
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)
(*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 e (-.f64 e #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(/.f64 (-.f64 e #s(literal -1 binary64)) e)
(+.f64 #s(literal 1 binary64) e)
(-.f64 e #s(literal -1 binary64))
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v)
(*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e))))
(/.f64 e (-.f64 e #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) (/.f64 e (-.f64 #s(literal -1 binary64) e)))
#s(literal 0 binary64)
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))
(/.f64 e (-.f64 #s(literal -1 binary64) e))
e
(-.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
(+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))
(/.f64 e (-.f64 #s(literal -1 binary64) e))
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(neg.f64 e)
e
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal -1 binary64))
(fma.f64 e (cos.f64 v) #s(literal -1 binary64))
(cos.f64 v)
#s(literal -1 binary64)

localize94.0ms (1.3%)

Memory
-7.0MiB live, 189.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 v)
accuracy0.01953125
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
accuracy0.16796875
(*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))
accuracy0.948985689689801
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
accuracy0.02734375
(/.f64 e (-.f64 #s(literal -1 binary64) e))
accuracy0.0390625
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))
accuracy28.520316685236192
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e))))
accuracy31.564734728088457
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
accuracy0.01953125
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)
accuracy0.02734375
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
accuracy0.18359375
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
accuracy31.564734728088457
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
accuracy0
(*.f64 v e)
accuracy1.9589692529988256
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
accuracy31.564734728088457
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
accuracy0
(cos.f64 v)
accuracy0.00390625
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
accuracy0.03515625
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy0.17578125
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
Samples
69.0ms255×0valid
0.0ms1valid
Compiler

Compiled 241 to 36 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 16.0ms (31.6% of total)
ival-div: 10.0ms (19.7% of total)
ival-sin: 8.0ms (15.8% of total)
ival-add: 7.0ms (13.8% of total)
ival-cos: 5.0ms (9.9% of total)
ival-sub: 2.0ms (3.9% of total)
ival-neg: 1.0ms (2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series39.0ms (0.5%)

Memory
14.9MiB live, 91.4MiB allocated
Counts
22 → 408
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) (patch #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) #<representation binary64>) () ())
#s(alt (*.f64 v e) (patch (*.f64 v e) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) e) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) e) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e))) (patch (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) (patch (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (patch (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e))) (patch (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())
#s(alt (/.f64 e (-.f64 #s(literal -1 binary64) e)) (patch (/.f64 e (-.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ v (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt v (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* -1/6 (pow v 2)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (+ 1 e) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v)) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow e 2) (* (cos v) (sin v)))) (taylor -inf e) (#s(alt (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) (patch (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) (taylor -inf e) (#s(alt (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) (patch (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) (taylor -inf e) (#s(alt (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) (patch (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) (taylor -inf e) (#s(alt (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) (patch (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor -inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor -inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor -inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor -inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* e (* (cos v) (sin v))) (taylor -inf e) (#s(alt (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (patch (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))) (taylor -inf e) (#s(alt (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (patch (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))) (taylor -inf e) (#s(alt (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (patch (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))) (taylor -inf e) (#s(alt (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (patch (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf e) (#s(alt (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e))) (patch (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (- 1 (* 2 (/ 1 e))) (taylor -inf e) (#s(alt (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e))) (patch (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 e))) e))) (taylor -inf e) (#s(alt (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e))) (patch (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 e))) e))) e))) (taylor -inf e) (#s(alt (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e))) (patch (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf e) (#s(alt (/.f64 e (-.f64 #s(literal -1 binary64) e)) (patch (/.f64 e (-.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 e) 1) (taylor -inf e) (#s(alt (/.f64 e (-.f64 #s(literal -1 binary64) e)) (patch (/.f64 e (-.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (/ 1 e) 1) e)) 1) (taylor -inf e) (#s(alt (/.f64 e (-.f64 #s(literal -1 binary64) e)) (patch (/.f64 e (-.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (- (/ 1 e) 1) e)) 1) e)) 1) (taylor -inf e) (#s(alt (/.f64 e (-.f64 #s(literal -1 binary64) e)) (patch (/.f64 e (-.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
8.0ms
e
@inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (neg e) (* (sin v) (+ (* (cos v) e) -1))) (neg e) (* (sin v) (+ (* (cos v) e) -1)) (cos v) (* (/ e (- -1 e)) (/ e (- -1 e))) (/ e (- -1 e)))
4.0ms
v
@-inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (neg e) (* (sin v) (+ (* (cos v) e) -1))) (neg e) (* (sin v) (+ (* (cos v) e) -1)) (cos v) (* (/ e (- -1 e)) (/ e (- -1 e))) (/ e (- -1 e)))
3.0ms
e
@-inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (neg e) (* (sin v) (+ (* (cos v) e) -1))) (neg e) (* (sin v) (+ (* (cos v) e) -1)) (cos v) (* (/ e (- -1 e)) (/ e (- -1 e))) (/ e (- -1 e)))
3.0ms
v
@0
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (neg e) (* (sin v) (+ (* (cos v) e) -1))) (neg e) (* (sin v) (+ (* (cos v) e) -1)) (cos v) (* (/ e (- -1 e)) (/ e (- -1 e))) (/ e (- -1 e)))
3.0ms
v
@inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (neg e) (* (sin v) (+ (* (cos v) e) -1))) (neg e) (* (sin v) (+ (* (cos v) e) -1)) (cos v) (* (/ e (- -1 e)) (/ e (- -1 e))) (/ e (- -1 e)))

simplify179.0ms (2.5%)

Memory
-6.2MiB live, 235.4MiB allocated
Algorithm
egg-herbie
Rules
8 236×lower-fma.f64
8 236×lower-fma.f32
6 398×lower-*.f64
6 398×lower-*.f32
2 850×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04635965
114755741
246435653
081635331
Stop Event
iter limit
node limit
Counts
408 → 401
Calls
Call 1
Inputs
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* e v)
(* e v)
(* e v)
(* e v)
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
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Outputs
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(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) (/.f64 (sin.f64 v) (cos.f64 v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(*.f64 (*.f64 e (*.f64 (cos.f64 v) e)) (neg.f64 (sin.f64 v)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* e (* (cos v) (sin v)))
(*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(* -1 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))))
(*.f64 (*.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) e)
(* -1 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))))
(*.f64 (*.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) e)
(* -1 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))))
(*.f64 (*.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) e)
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 e)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) e))
(+ 1 (* -1 (/ (- 2 (* 3 (/ 1 e))) e)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) e)) e))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 e))) e))) e)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) e) #s(literal 3 binary64)) e) #s(literal 2 binary64)) e))
-1
#s(literal -1 binary64)
(- (/ 1 e) 1)
(-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(- (* -1 (/ (- (/ 1 e) 1) e)) 1)
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 e) 1) e)) 1) e)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64)) e))

rewrite155.0ms (2.1%)

Memory
11.9MiB live, 286.4MiB allocated
Rules
4 664×lower-/.f32
4 654×lower-/.f64
3 726×lower-fma.f32
3 722×lower-fma.f64
3 284×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040242
062189
1260189
21987189
08376189
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 501
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(sin.f64 v)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
(*.f64 v e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e))))
(+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
(*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))
(neg.f64 e)
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
(cos.f64 v)
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))
(/.f64 e (-.f64 #s(literal -1 binary64) e))
Outputs
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eval341.0ms (4.7%)

Memory
29.5MiB live, 723.5MiB allocated
Compiler

Compiled 58 484 to 8 243 computations (85.9% saved)

prune110.0ms (1.5%)

Memory
-21.4MiB live, 314.2MiB allocated
Pruning

41 alts after pruning (35 fresh and 6 done)

PrunedKeptTotal
New2 224172 241
Fresh71825
Picked235
Done033
Total2 233412 274
Accuracy
100.0%
Counts
2 274 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.0%
(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
50.2%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
50.4%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
98.5%
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
98.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v))))
99.7%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
98.7%
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
96.8%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
99.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
99.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
96.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
50.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
49.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
50.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
98.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
37.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (pow.f64 (neg.f64 e) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 e e (*.f64 #s(literal 0 binary64) e)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
27.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64)))) v))
27.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) v))
27.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64)) e)))) v))
27.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) #s(literal -1 binary64))) v))
63.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))
44.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(approx (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) e #s(literal -1 binary64)) e) e)) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
43.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(approx (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (*.f64 (neg.f64 e) e)) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
50.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v))
50.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
48.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) e) (/.f64 #s(literal 1 binary64) e))) v))
98.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)))
99.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
98.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
49.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/80 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal 1/5040 binary64))) v) v (fma.f64 #s(literal 1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (-.f64 e #s(literal 1 binary64))) v))))
49.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) e) #s(literal 1 binary64)) v))))
98.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (*.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) e))))
49.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 e (*.f64 e e))) v))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
50.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e)) v))
49.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
97.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
49.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
48.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
49.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
Compiler

Compiled 1 115 to 851 computations (23.7% saved)

simplify97.0ms (1.4%)

Memory
17.4MiB live, 131.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
cost-diff0
(/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
cost-diff0
(fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e)
cost-diff0
#s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
cost-diff0
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
cost-diff320
(fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e))
cost-diff0
(*.f64 e v)
cost-diff0
(+.f64 #s(literal 1 binary64) e)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))
cost-diff0
(-.f64 v (*.f64 v e))
cost-diff0
(*.f64 (-.f64 v (*.f64 v e)) e)
cost-diff0
#s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
cost-diff0
(sin.f64 v)
cost-diff0
(neg.f64 (sin.f64 v))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
cost-diff448
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
Rules
4 872×lower-fma.f32
4 868×lower-fma.f64
2 454×lower-*.f32
2 436×lower-*.f64
1 148×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046342
072342
1122340
2207327
3406327
4966324
51636324
62529324
73414324
86428324
08234308
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(neg.f64 (sin.f64 v))
(sin.f64 v)
v
(/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
#s(literal -1 binary64)
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
(cos.f64 v)
(/.f64 #s(literal -1 binary64) e)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))
(*.f64 (-.f64 v (*.f64 v e)) e)
(-.f64 v (*.f64 v e))
v
(*.f64 v e)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))
(+.f64 #s(literal 1 binary64) e)
e
(*.f64 e v)
v
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)
(fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e)
(fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e))
(*.f64 (*.f64 v e) v)
(*.f64 v e)
v
e
#s(literal 1/120 binary64)
(*.f64 #s(literal -1/6 binary64) e)
#s(literal -1/6 binary64)
(*.f64 v v)
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(sin.f64 v)
v
(/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
e
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(neg.f64 (sin.f64 v))
(sin.f64 v)
v
(/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
#s(literal -1 binary64)
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
(cos.f64 v)
(/.f64 #s(literal -1 binary64) e)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))
(*.f64 (-.f64 v (*.f64 v e)) e)
(-.f64 v (*.f64 v e))
v
(*.f64 v e)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))
(/.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) v) e)
(+.f64 #s(literal 1 binary64) e)
(-.f64 e #s(literal -1 binary64))
e
(*.f64 e v)
(*.f64 v e)
v
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)) v) e)) #s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64))))
#s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (* e (sin v)) (*.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)) v) e))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)
(*.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)) v) e)
(fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e)
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)) v) v #s(literal 1 binary64)) e)
(fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e))
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)) e)
(*.f64 (*.f64 v e) v)
(*.f64 v e)
v
e
#s(literal 1/120 binary64)
(*.f64 #s(literal -1/6 binary64) e)
#s(literal -1/6 binary64)
(*.f64 v v)
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
#s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64)))
(+.f64 e #s(literal 1 binary64))
(-.f64 e #s(literal -1 binary64))
#s(literal 1 binary64)
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64)))) e)
(sin.f64 v)
v
(/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e #s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64))))
e
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
#s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) e)
(-.f64 e #s(literal -1 binary64))
#s(literal 1 binary64)

localize118.0ms (1.6%)

Memory
6.8MiB live, 275.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 v)
accuracy0.0234375
(/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
accuracy0.16796875
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
accuracy0.674999020658834
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
accuracy0.2803365266444272
(fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e))
accuracy0.34375
(*.f64 #s(literal -1/6 binary64) e)
accuracy0.674999020658834
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
accuracy31.868880484489488
#s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
accuracy0
(*.f64 e v)
accuracy0.25
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))
accuracy0.6192311327198672
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))
accuracy31.564734728088457
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
accuracy0
(*.f64 v e)
accuracy0.015625
(*.f64 (-.f64 v (*.f64 v e)) e)
accuracy0.9659718461219032
#s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))
accuracy31.564734728088457
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
accuracy0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
accuracy0.0078125
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
accuracy0.16796875
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
accuracy0.18359375
(/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
Samples
89.0ms255×0valid
0.0ms1valid
Compiler

Compiled 246 to 39 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 22.0ms (31.8% of total)
const: 13.0ms (18.8% of total)
ival-div: 11.0ms (15.9% of total)
ival-add: 7.0ms (10.1% of total)
ival-sin: 7.0ms (10.1% of total)
ival-cos: 5.0ms (7.2% of total)
ival-sub: 2.0ms (2.9% of total)
ival-neg: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series47.0ms (0.7%)

Memory
1.4MiB live, 114.8MiB allocated
Counts
25 → 552
Calls
Call 1
Inputs
#s(alt (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (patch (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))) #<representation binary64>) () ())
#s(alt (neg.f64 (sin.f64 v)) (patch (neg.f64 (sin.f64 v)) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)) (patch #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 v (*.f64 v e)) e) (patch (*.f64 (-.f64 v (*.f64 v e)) e) #<representation binary64>) () ())
#s(alt (-.f64 v (*.f64 v e)) (patch (-.f64 v (*.f64 v e)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) e) (patch (+.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())
#s(alt (*.f64 e v) (patch (*.f64 e v) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (patch (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) (patch #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))) (patch (*.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))) #<representation binary64>) () ())
#s(alt (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (patch (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())
#s(alt (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (patch (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())
#s(alt (*.f64 v e) (patch (*.f64 v e) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/6 binary64) e) (patch (*.f64 #s(literal -1/6 binary64) e) #<representation binary64>) () ())
Outputs
#s(alt (/ v (+ 1 (/ 1 e))) (taylor 0 v) (#s(alt (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (patch (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ())) ())
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#s(alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) (taylor 0 v) (#s(alt (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (patch (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))) #<representation binary64>) () ())) ())
#s(alt (* -1 v) (taylor 0 v) (#s(alt (neg.f64 (sin.f64 v)) (patch (neg.f64 (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (- (* 1/6 (pow v 2)) 1)) (taylor 0 v) (#s(alt (neg.f64 (sin.f64 v)) (patch (neg.f64 (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (- (* (pow v 2) (+ 1/6 (* -1/120 (pow v 2)))) 1)) (taylor 0 v) (#s(alt (neg.f64 (sin.f64 v)) (patch (neg.f64 (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (- (* (pow v 2) (+ 1/6 (* (pow v 2) (- (* 1/5040 (pow v 2)) 1/120)))) 1)) (taylor 0 v) (#s(alt (neg.f64 (sin.f64 v)) (patch (neg.f64 (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt v (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* -1/6 (pow v 2)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)) (patch #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)) (patch #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)) (patch #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)) (patch #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)) #<representation binary64>) () ())) ())
#s(alt (* e (* v (- 1 e))) (taylor 0 v) (#s(alt (*.f64 (-.f64 v (*.f64 v e)) e) (patch (*.f64 (-.f64 v (*.f64 v e)) e) #<representation binary64>) () ())) ())
#s(alt (* e (* v (- 1 e))) (taylor 0 v) (#s(alt (*.f64 (-.f64 v (*.f64 v e)) e) (patch (*.f64 (-.f64 v (*.f64 v e)) e) #<representation binary64>) () ())) ())
#s(alt (* e (* v (- 1 e))) (taylor 0 v) (#s(alt (*.f64 (-.f64 v (*.f64 v e)) e) (patch (*.f64 (-.f64 v (*.f64 v e)) e) #<representation binary64>) () ())) ())
#s(alt (* e (* v (- 1 e))) (taylor 0 v) (#s(alt (*.f64 (-.f64 v (*.f64 v e)) e) (patch (*.f64 (-.f64 v (*.f64 v e)) e) #<representation binary64>) () ())) ())
#s(alt (* v (- 1 e)) (taylor 0 v) (#s(alt (-.f64 v (*.f64 v e)) (patch (-.f64 v (*.f64 v e)) #<representation binary64>) () ())) ())
#s(alt (* v (- 1 e)) (taylor 0 v) (#s(alt (-.f64 v (*.f64 v e)) (patch (-.f64 v (*.f64 v e)) #<representation binary64>) () ())) ())
#s(alt (* v (- 1 e)) (taylor 0 v) (#s(alt (-.f64 v (*.f64 v e)) (patch (-.f64 v (*.f64 v e)) #<representation binary64>) () ())) ())
#s(alt (* v (- 1 e)) (taylor 0 v) (#s(alt (-.f64 v (*.f64 v e)) (patch (-.f64 v (*.f64 v e)) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))) #<representation binary64>) () ())) ())
#s(alt (* e v) (taylor 0 v) (#s(alt (*.f64 e v) (patch (*.f64 e v) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
6.0ms
v
@inf
((* (neg (sin v)) (/ -1 (- (cos v) (/ -1 e)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (neg (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (* e v) (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ (* (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (* v v)) e) (* (sin v) (/ e (+ 1 (* e (cos v))))) (/ e (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (/ -1 (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (* v e) (/ (+ 1 e) (* e v)) (+ 1 (* e (cos v))) (* -1/6 e))
5.0ms
e
@inf
((* (neg (sin v)) (/ -1 (- (cos v) (/ -1 e)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (neg (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (* e v) (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ (* (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (* v v)) e) (* (sin v) (/ e (+ 1 (* e (cos v))))) (/ e (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (/ -1 (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (* v e) (/ (+ 1 e) (* e v)) (+ 1 (* e (cos v))) (* -1/6 e))
5.0ms
v
@-inf
((* (neg (sin v)) (/ -1 (- (cos v) (/ -1 e)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (neg (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (* e v) (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ (* (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (* v v)) e) (* (sin v) (/ e (+ 1 (* e (cos v))))) (/ e (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (/ -1 (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (* v e) (/ (+ 1 e) (* e v)) (+ 1 (* e (cos v))) (* -1/6 e))
4.0ms
e
@-inf
((* (neg (sin v)) (/ -1 (- (cos v) (/ -1 e)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (neg (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (* e v) (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ (* (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (* v v)) e) (* (sin v) (/ e (+ 1 (* e (cos v))))) (/ e (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (/ -1 (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (* v e) (/ (+ 1 e) (* e v)) (+ 1 (* e (cos v))) (* -1/6 e))
4.0ms
v
@0
((* (neg (sin v)) (/ -1 (- (cos v) (/ -1 e)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (neg (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (* e v) (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ (* (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (* v v)) e) (* (sin v) (/ e (+ 1 (* e (cos v))))) (/ e (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (/ -1 (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (* v e) (/ (+ 1 e) (* e v)) (+ 1 (* e (cos v))) (* -1/6 e))

simplify180.0ms (2.5%)

Memory
24.3MiB live, 331.0MiB allocated
Algorithm
egg-herbie
Rules
8 602×lower-fma.f64
8 602×lower-fma.f32
6 904×lower-*.f64
6 904×lower-*.f32
3 076×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04687253
114427047
240806965
085506629
Stop Event
iter limit
node limit
Counts
552 → 542
Calls
Call 1
Inputs
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(/ (* e v) (+ 1 e))
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(* -1 v)
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(* v (- (* (pow v 2) (+ 1/6 (* (pow v 2) (- (* 1/5040 (pow v 2)) 1/120)))) 1))
v
(* v (+ 1 (* -1/6 (pow v 2))))
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(/ (* e v) (+ 1 e))
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(* e v)
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e
(+ e (* -1/6 (* e (pow v 2))))
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v
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e
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))
(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))
1
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(+ 1 (* e (cos v)))
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(* e (- (* e (- (* -1 (* e (pow (cos v) 2))) (* -1 (cos v)))) 1))
(* e (- (* e (- (* e (- (* e (pow (cos v) 3)) (pow (cos v) 2))) (* -1 (cos v)))) 1))
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(* e v)
(* e v)
(* e v)
(* e v)
(/ 1 (* e v))
(/ (+ (/ 1 v) (/ e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
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(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
v
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(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
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v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
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(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
e
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(/ (sin v) (cos v))
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(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* e (sin v))
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(/ 1 (cos v))
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(- (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))) (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))))
(cos v)
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(* e v)
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(/ (sin v) (cos v))
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(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(/ (sin v) (cos v))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (sin v) (cos v))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
v
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v
(+ v (* -1 (/ v e)))
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(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
e
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(* e v)
(* e v)
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(* -1 (* e (+ 1/6 (* -1/120 (pow v 2)))))
(* -1 (* e (+ 1/6 (* -1/120 (pow v 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* e (sin v))
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(* -1 (* e (- (* (pow v 2) (+ 1/6 (* -1/120 (pow v 2)))) 1)))
(* -1 (* e (- (* (pow v 2) (+ 1/6 (* -1/120 (pow v 2)))) 1)))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ 1 (cos v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))
(* e (cos v))
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(/ -1 (cos v))
(- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v)))
(- (* -1 (/ (- (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 4))) (/ 1 (pow (cos v) 3))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(* e v)
(* e v)
(* e v)
(* e v)
(/ 1 v)
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
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(* e (cos v))
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(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
Outputs
(/ v (+ 1 (/ 1 e)))
(/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
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(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 v v) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
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(/ (* e v) (+ 1 e))
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(*.f64 #s(literal -1/6 binary64) e)
(* -1/6 e)
(*.f64 #s(literal -1/6 binary64) e)
(* -1/6 e)
(*.f64 #s(literal -1/6 binary64) e)

rewrite165.0ms (2.3%)

Memory
-1.0MiB live, 265.8MiB allocated
Rules
4 190×lower-/.f32
4 178×lower-/.f64
3 760×lower-fma.f32
3 756×lower-fma.f64
3 592×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046285
072285
1262279
21645275
08579267
Stop Event
iter limit
node limit
iter limit
Counts
25 → 612
Calls
Call 1
Inputs
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(neg.f64 (sin.f64 v))
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e))
(*.f64 (-.f64 v (*.f64 v e)) e)
(-.f64 v (*.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(+.f64 #s(literal 1 binary64) e)
(*.f64 e v)
(fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
(fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e)
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
(*.f64 v e)
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) e)
Outputs
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eval244.0ms (3.4%)

Memory
35.9MiB live, 540.7MiB allocated
Compiler

Compiled 25 821 to 3 371 computations (86.9% saved)

prune154.0ms (2.1%)

Memory
-23.7MiB live, 223.5MiB allocated
Pruning

47 alts after pruning (38 fresh and 9 done)

PrunedKeptTotal
New1 257131 270
Fresh52530
Picked235
Done066
Total1 264471 311
Accuracy
100.0%
Counts
1 311 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.0%
(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
50.4%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
50.2%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
50.4%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
98.5%
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
98.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v))))
73.2%
(*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) #s(literal 0 binary64)))) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
99.7%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
98.7%
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
98.3%
(*.f64 (sin.f64 v) #s(approx (/ e (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e)))
96.8%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
99.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
99.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
96.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
50.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
50.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v))))
49.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (+.f64 #s(literal 1 binary64) e) (neg.f64 e)))))
48.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
98.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
37.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (pow.f64 (neg.f64 e) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 e e (*.f64 #s(literal 0 binary64) e)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
27.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64)))) v))
27.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) v))
27.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64)) e)))) v))
27.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) #s(literal -1 binary64))) v))
63.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))
44.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(approx (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) e #s(literal -1 binary64)) e) e)) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
43.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(approx (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (*.f64 (neg.f64 e) e)) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
50.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v))
50.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
99.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
96.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))))
98.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
49.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/80 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal 1/5040 binary64))) v) v (fma.f64 #s(literal 1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (-.f64 e #s(literal 1 binary64))) v))))
49.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) e) #s(literal 1 binary64)) v))))
98.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (*.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) e))))
49.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 e (*.f64 e e))) v))
50.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e)) v))
49.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
97.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
49.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
49.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
49.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
49.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
27.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
48.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
49.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
Compiler

Compiled 1 649 to 861 computations (47.8% saved)

regimes70.0ms (1%)

Memory
-11.2MiB live, 179.5MiB allocated
Counts
69 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 e (*.f64 e e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) e) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) e) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(approx (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (*.f64 (neg.f64 e) e)) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (+.f64 #s(literal 1 binary64) e) (neg.f64 e)))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(approx (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) e #s(literal -1 binary64)) e) e)) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) #s(literal -1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/80 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal 1/5040 binary64))) v) v (fma.f64 #s(literal 1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (-.f64 e #s(literal 1 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64)) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (sin.f64 v) #s(approx (/ e (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (*.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (pow.f64 (neg.f64 e) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 e e (*.f64 #s(literal 0 binary64) e)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) #s(literal 0 binary64)))) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
Calls

3 calls:

23.0ms
v
21.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
20.0ms
e
Results
AccuracySegmentsBranch
99.7%1e
99.7%1v
99.7%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes65.0ms (0.9%)

Memory
16.6MiB live, 169.9MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 e (*.f64 e e))) v))
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) e) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) e) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(approx (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (*.f64 (neg.f64 e) e)) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (+.f64 #s(literal 1 binary64) e) (neg.f64 e)))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(approx (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) e #s(literal -1 binary64)) e) e)) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) #s(literal -1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/80 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal 1/5040 binary64))) v) v (fma.f64 #s(literal 1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (-.f64 e #s(literal 1 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64)) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (sin.f64 v) #s(approx (/ e (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (*.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (pow.f64 (neg.f64 e) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 e e (*.f64 #s(literal 0 binary64) e)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
Calls

3 calls:

23.0ms
v
20.0ms
e
18.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.7%1e
99.7%1v
99.7%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes535.0ms (7.4%)

Memory
-113.7MiB live, 137.1MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 e (*.f64 e e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) e) (/.f64 #s(literal 1 binary64) e))) v))
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) e) #s(literal 1 binary64)) v))))
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (+.f64 #s(literal 1 binary64) e) (neg.f64 e)))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
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(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/80 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal 1/5040 binary64))) v) v (fma.f64 #s(literal 1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (-.f64 e #s(literal 1 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64)) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (sin.f64 v) #s(approx (/ e (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e)))
Outputs
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
Calls

3 calls:

497.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
19.0ms
v
16.0ms
e
Results
AccuracySegmentsBranch
98.7%1e
98.7%1v
98.7%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes48.0ms (0.7%)

Memory
-3.7MiB live, 112.2MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 e (*.f64 e e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) e) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) e) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(approx (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (*.f64 (neg.f64 e) e)) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (+.f64 #s(literal 1 binary64) e) (neg.f64 e)))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(approx (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) e #s(literal -1 binary64)) e) e)) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) #s(literal -1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/80 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal 1/5040 binary64))) v) v (fma.f64 #s(literal 1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (-.f64 e #s(literal 1 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64)) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
Calls

3 calls:

19.0ms
e
13.0ms
v
13.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
97.6%1e
97.6%1v
97.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes38.0ms (0.5%)

Memory
20.4MiB live, 95.7MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 e (*.f64 e e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) e) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) e) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(approx (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (*.f64 (neg.f64 e) e)) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (+.f64 #s(literal 1 binary64) e) (neg.f64 e)))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(approx (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) e #s(literal -1 binary64)) e) e)) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) #s(literal -1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/80 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal 1/5040 binary64))) v) v (fma.f64 #s(literal 1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (-.f64 e #s(literal 1 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64)) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Calls

3 calls:

12.0ms
v
12.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
11.0ms
e
Results
AccuracySegmentsBranch
96.8%1e
98.7%2v
96.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes38.0ms (0.5%)

Memory
-23.0MiB live, 92.9MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 e (*.f64 e e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) e) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) e) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(approx (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (*.f64 (neg.f64 e) e)) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (+.f64 #s(literal 1 binary64) e) (neg.f64 e)))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v e) v) 1/120) (* -1/6 e)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(approx (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) e #s(literal -1 binary64)) e) e)) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v e) v) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) #s(literal -1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 e) #s(approx (* (sin v) (+ (* (cos v) e) -1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/80 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal 1/5040 binary64))) v) v (fma.f64 #s(literal 1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal -1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (-.f64 e #s(literal 1 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) #s(approx (+ 0 (/ e (- -1 e))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64)) e)))) v))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
Calls

3 calls:

13.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
12.0ms
v
11.0ms
e
Results
AccuracySegmentsBranch
50.7%1e
50.7%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
50.7%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes13.0ms (0.2%)

Memory
-4.6MiB live, 33.5MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 e (*.f64 e e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
Calls

3 calls:

4.0ms
e
4.0ms
v
4.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
49.6%1e
49.6%1v
49.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes10.0ms (0.1%)

Memory
28.0MiB live, 28.0MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 e (*.f64 e e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 e (*.f64 e e))) v))
Calls

3 calls:

3.0ms
v
3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
e
Results
AccuracySegmentsBranch
49.6%1e
49.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
49.6%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.1%)

Memory
-15.1MiB live, 23.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
Calls

3 calls:

3.0ms
v
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
e
Results
AccuracySegmentsBranch
49.6%1e
49.6%1v
49.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
Calls

3 calls:

2.0ms
v
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
e
Results
AccuracySegmentsBranch
49.6%1e
49.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
49.6%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.1%)

Memory
-21.1MiB live, 19.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
Calls

3 calls:

3.0ms
v
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
e
Results
AccuracySegmentsBranch
49.6%1e
49.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
49.6%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Accuracy

Total -14.7b remaining (-44.8%)

Threshold costs -14.7b (-44.8%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
Calls

3 calls:

2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
v
2.0ms
e
Results
AccuracySegmentsBranch
48.7%1e
48.7%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
48.7%1v
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch19.0ms (0.3%)

Memory
7.3MiB live, 45.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
2.2351047231365252e-13
3.667532426534133e-6
Samples
11.0ms144×0valid
Compiler

Compiled 131 to 140 computations (-6.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 2.0ms (28.7% of total)
ival-sin: 2.0ms (28.7% of total)
ival-div: 1.0ms (14.4% of total)
ival-add: 1.0ms (14.4% of total)
ival-cos: 1.0ms (14.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify27.0ms (0.4%)

Memory
5.0MiB live, 81.3MiB allocated
Algorithm
egg-herbie
Rules
46×*-commutative-binary64-*.f64
22×+-commutative-binary64-+.f64
20×sub-neg-binary64-neg.f64-+.f64--.f64
14×neg-sub0-binary64--.f64-neg.f64
14×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078302
1113302
2133302
3151302
4156302
5157302
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
(if (<=.f64 v #s(literal 4457913959828945/151115727451828646838272 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 e (*.f64 e e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
(*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v))))
(if (<=.f64 v #s(literal 4457913959828945/151115727451828646838272 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)))
(if (<=.f64 v #s(literal 4457913959828945/151115727451828646838272 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- 0 (* (/ e (- -1 e)) (/ e (- -1 e)))) (+ 0 (/ e (- -1 e)))) (-.f64 e (*.f64 e e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 e v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))

soundness1.1s (15.6%)

Memory
-6.8MiB live, 1 165.3MiB allocated
Rules
15 582×lower-fma.f64
15 582×lower-fma.f32
14 148×lower-fma.f64
14 148×lower-fma.f32
8 236×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04635965
114755741
246435653
081635331
05837025
118996814
257186703
083326334
035191
056191
1221191
21484183
08832174
01821153
15541138
215821106
352661024
08387956
046285
072285
1262279
21645275
08579267
0927
01527
14227
224127
3209727
0837025
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 282 to 191 computations (32.3% saved)

preprocess86.0ms (1.2%)

Memory
32.9MiB live, 268.7MiB allocated
Remove

(negabs v)

Compiler

Compiled 538 to 330 computations (38.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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